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A074539 a(n) = 2^n + 5^n + 8^n. 1
3, 15, 93, 645, 4737, 35925, 277833, 2175405, 17168097, 136171365, 1083508473, 8638764765, 68963621457, 550976525205, 4404150043113, 35214889699725, 281627564666817, 2252562753269445, 18018213207009753, 144134261562708285 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

D. Suprijanto, I. W. Suwarno, Observation on Sums of Powers of Integers Divisible by 3k-1, Applied Mathematical Sciences, Vol. 8, 2014, no. 45, 2211 - 2217; http://dx.doi.org/10.12988/ams.2014.4139.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (15,-66,80).

FORMULA

From Mohammad K. Azarian, Dec 27 2008: (Start)

G.f.: 1/(1-2*x) + 1/(1-5*x) + 1/(1-8*x).

E.g.f.: exp(2*x) + exp(5*x) + exp(8*x). (End)

MATHEMATICA

Table[2^n + 5^n + 8^n, {n, 0, 20}]

PROG

(MAGMA) [2^n + 5^n + 8^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011

CROSSREFS

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

Sequence in context: A002893 A256335 A258313 * A103210 A203014 A060066

Adjacent sequences:  A074536 A074537 A074538 * A074540 A074541 A074542

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified October 15 09:22 EDT 2019. Contains 328026 sequences. (Running on oeis4.)